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<div class="title">vector.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="preprocessor">#include &quot;space\helpers\math.h&quot;</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;</div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="keyword">namespace </span>space {</div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00008"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html">    8</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classspace_1_1vector3d.html">vector3d</a></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;    {</div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">public</span>:</div>
<div class="line"><a name="l00012"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#a96d24b448a6323405ff2908385283163">   12</a></span>&#160;        <a class="code" href="classspace_1_1vector3d.html#a96d24b448a6323405ff2908385283163" title="Default constructor (null vector).">vector3d</a>() : X(0), Y(0), Z(0) {}</div>
<div class="line"><a name="l00014"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#acbaaea8fe65327a3371d2c56b6d13694">   14</a></span>&#160;        <a class="code" href="classspace_1_1vector3d.html#acbaaea8fe65327a3371d2c56b6d13694" title="Constructor with three different values.">vector3d</a>(T nx, T ny, T nz) : X(nx), Y(ny), Z(nz) {}</div>
<div class="line"><a name="l00016"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#a18eb4154c6db4308035d5b589362ae97">   16</a></span>&#160;        <span class="keyword">explicit</span> <a class="code" href="classspace_1_1vector3d.html#a18eb4154c6db4308035d5b589362ae97" title="Constructor with the same value for all elements.">vector3d</a>(T n) : X(n), Y(n), Z(n) {}</div>
<div class="line"><a name="l00018"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#ac64bed979ab18f166fcab7c4de964e09">   18</a></span>&#160;        <a class="code" href="classspace_1_1vector3d.html#ac64bed979ab18f166fcab7c4de964e09" title="Copy constructor.">vector3d</a>(<span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; other) : X(other.X), Y(other.Y), Z(other.Z) {}</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;        <span class="comment">// operators</span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a> operator-()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>(-X, -Y, -Z); }</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;        vector3d&lt;T&gt;&amp; operator=(<span class="keyword">const</span> vector3d&lt;T&gt;&amp; other) { X = other.X; Y = other.Y; Z = other.Z; <span class="keywordflow">return</span> *<span class="keyword">this</span>; }</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        vector3d&lt;T&gt; operator+(<span class="keyword">const</span> vector3d&lt;T&gt;&amp; other)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> vector3d&lt;T&gt;(X + other.X, Y + other.Y, Z + other.Z); }</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        vector3d&lt;T&gt;&amp; operator+=(<span class="keyword">const</span> vector3d&lt;T&gt;&amp; other) { X+=other.X; Y+=other.Y; Z+=other.Z; <span class="keywordflow">return</span> *<span class="keyword">this</span>; }</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        vector3d&lt;T&gt; operator+(<span class="keyword">const</span> T val)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> vector3d&lt;T&gt;(X + val, Y + val, Z + val); }</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        vector3d&lt;T&gt;&amp; operator+=(<span class="keyword">const</span> T val) { X+=val; Y+=val; Z+=val; <span class="keywordflow">return</span> *<span class="keyword">this</span>; }</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        vector3d&lt;T&gt; operator-(<span class="keyword">const</span> vector3d&lt;T&gt;&amp; other)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> vector3d&lt;T&gt;(X - other.X, Y - other.Y, Z - other.Z); }</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        vector3d&lt;T&gt;&amp; operator-=(<span class="keyword">const</span> vector3d&lt;T&gt;&amp; other) { X-=other.X; Y-=other.Y; Z-=other.Z; <span class="keywordflow">return</span> *<span class="keyword">this</span>; }</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        vector3d&lt;T&gt; operator-(<span class="keyword">const</span> T val)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> vector3d&lt;T&gt;(X - val, Y - val, Z - val); }</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        vector3d&lt;T&gt;&amp; operator-=(<span class="keyword">const</span> T val) { X-=val; Y-=val; Z-=val; <span class="keywordflow">return</span> *<span class="keyword">this</span>; }</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        vector3d&lt;T&gt; operator*(<span class="keyword">const</span> vector3d&lt;T&gt;&amp; other)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> vector3d&lt;T&gt;(X * other.X, Y * other.Y, Z * other.Z); }</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        vector3d&lt;T&gt;&amp; operator*=(<span class="keyword">const</span> vector3d&lt;T&gt;&amp; other) { X*=other.X; Y*=other.Y; Z*=other.Z; <span class="keywordflow">return</span> *<span class="keyword">this</span>; }</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        vector3d&lt;T&gt; operator*(<span class="keyword">const</span> T v)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> vector3d&lt;T&gt;(X * v, Y * v, Z * v); }</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        vector3d&lt;T&gt;&amp; operator*=(<span class="keyword">const</span> T v) { X*=v; Y*=v; Z*=v; <span class="keywordflow">return</span> *<span class="keyword">this</span>; }</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        vector3d&lt;T&gt; operator/(<span class="keyword">const</span> vector3d&lt;T&gt;&amp; other)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> vector3d&lt;T&gt;(X / other.X, Y / other.Y, Z / other.Z); }</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        vector3d&lt;T&gt;&amp; operator/=(<span class="keyword">const</span> vector3d&lt;T&gt;&amp; other) { X/=other.X; Y/=other.Y; Z/=other.Z; <span class="keywordflow">return</span> *<span class="keyword">this</span>; }</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        vector3d&lt;T&gt; operator/(<span class="keyword">const</span> T v)<span class="keyword"> const </span>{ T i=(T)1.0/v; <span class="keywordflow">return</span> vector3d&lt;T&gt;(X * i, Y * i, Z * i); }</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        vector3d&lt;T&gt;&amp; operator/=(<span class="keyword">const</span> T v) { T i=(T)1.0/v; X*=i; Y*=i; Z*=i; <span class="keywordflow">return</span> *<span class="keyword">this</span>; }</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
<div class="line"><a name="l00047"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#ad8023e61c8a814b31ecfd65a7a7e98e0">   47</a></span>&#160;        <span class="keywordtype">bool</span> operator&lt;=(const vector3d&lt;T&gt;&amp;other) <span class="keyword">const</span></div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        {</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;            <span class="keywordflow">return</span>  (X&lt;other.X || core::equals(X, other.X)) ||</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                    (core::equals(X, other.X) &amp;&amp; (Y&lt;other.Y || core::equals(Y, other.Y))) ||</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                    (core::equals(X, other.X) &amp;&amp; core::equals(Y, other.Y) &amp;&amp; (Z&lt;other.Z || core::equals(Z, other.Z)));</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        }</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
<div class="line"><a name="l00055"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#a88f5fd33f24c84e2e00468c5d4499cd4">   55</a></span>&#160;        <span class="keywordtype">bool</span> <a class="code" href="classspace_1_1vector3d.html#a88f5fd33f24c84e2e00468c5d4499cd4" title="sort in order X, Y, Z. Equality with rounding tolerance.">operator&gt;=</a>(<span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp;other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;            <span class="keywordflow">return</span>  (X&gt;other.X || core::equals(X, other.X)) ||</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                    (core::equals(X, other.X) &amp;&amp; (Y&gt;other.Y || core::equals(Y, other.Y))) ||</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                    (core::equals(X, other.X) &amp;&amp; core::equals(Y, other.Y) &amp;&amp; (Z&gt;other.Z || core::equals(Z, other.Z)));</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        }</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
<div class="line"><a name="l00063"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#a41913d3080c7a8af5617408fbe08bda3">   63</a></span>&#160;        <span class="keywordtype">bool</span> operator&lt;(const vector3d&lt;T&gt;&amp;other) <span class="keyword">const</span></div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        {</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;            <span class="keywordflow">return</span>  (X&lt;other.X &amp;&amp; !core::equals(X, other.X)) ||</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                    (core::equals(X, other.X) &amp;&amp; Y&lt;other.Y &amp;&amp; !core::equals(Y, other.Y)) ||</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                    (core::equals(X, other.X) &amp;&amp; core::equals(Y, other.Y) &amp;&amp; Z&lt;other.Z &amp;&amp; !core::equals(Z, other.Z));</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        }</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
<div class="line"><a name="l00071"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#ae9bed7c26e37998fcbe964f6dad10c9b">   71</a></span>&#160;        <span class="keywordtype">bool</span> <a class="code" href="classspace_1_1vector3d.html#ae9bed7c26e37998fcbe964f6dad10c9b" title="sort in order X, Y, Z. Difference must be above rounding tolerance.">operator&gt;</a>(<span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp;other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;            <span class="keywordflow">return</span>  (X&gt;other.X &amp;&amp; !core::equals(X, other.X)) ||</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                    (core::equals(X, other.X) &amp;&amp; Y&gt;other.Y &amp;&amp; !core::equals(Y, other.Y)) ||</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                    (core::equals(X, other.X) &amp;&amp; core::equals(Y, other.Y) &amp;&amp; Z&gt;other.Z &amp;&amp; !core::equals(Z, other.Z));</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        }</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
<div class="line"><a name="l00079"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#ae3b2a5003e57743308f4b2d2283c4508">   79</a></span>&#160;        <span class="keywordtype">bool</span> <a class="code" href="classspace_1_1vector3d.html#ae3b2a5003e57743308f4b2d2283c4508" title="use weak float compare">operator==</a>(<span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;            <span class="keywordflow">return</span> this-&gt;<a class="code" href="classspace_1_1vector3d.html#af47616409d0f725ee686a01ecaf95d00" title="returns if this vector equals the other one, taking floating point rounding errors into account...">equals</a>(other);</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        }</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keywordtype">bool</span> operator!=(<span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;            <span class="keywordflow">return</span> !this-&gt;<a class="code" href="classspace_1_1vector3d.html#af47616409d0f725ee686a01ecaf95d00" title="returns if this vector equals the other one, taking floating point rounding errors into account...">equals</a>(other);</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        }</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="comment">// functions</span></div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
<div class="line"><a name="l00092"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#af47616409d0f725ee686a01ecaf95d00">   92</a></span>&#160;        <span class="keywordtype">bool</span> <a class="code" href="classspace_1_1vector3d.html#af47616409d0f725ee686a01ecaf95d00" title="returns if this vector equals the other one, taking floating point rounding errors into account...">equals</a>(<span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; other, <span class="keyword">const</span> T tolerance = (T)ROUNDING_ERROR_float )<span class="keyword"> const</span></div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;            <span class="keywordflow">return</span> core::equals(X, other.X, tolerance) &amp;&amp;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                core::equals(Y, other.Y, tolerance) &amp;&amp;</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                core::equals(Z, other.Z, tolerance);</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        }</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; <span class="keyword">set</span>(<span class="keyword">const</span> T nx, <span class="keyword">const</span> T ny, <span class="keyword">const</span> T nz) {X=nx; Y=ny; Z=nz; <span class="keywordflow">return</span> *<span class="keyword">this</span>;}</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        vector3d&lt;T&gt;&amp; <span class="keyword">set</span>(<span class="keyword">const</span> vector3d&lt;T&gt;&amp; p) {X=p.X; Y=p.Y; Z=p.Z;<span class="keywordflow">return</span> *<span class="keyword">this</span>;}</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
<div class="line"><a name="l00103"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#a5381c1175b628a86dd1e90582bb471f0">  103</a></span>&#160;        T <a class="code" href="classspace_1_1vector3d.html#a5381c1175b628a86dd1e90582bb471f0" title="Get length of the vector.">getLength</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> core::squareroot( X*X + Y*Y + Z*Z ); }</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
<div class="line"><a name="l00108"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#a0a0ee6dec00310c0448a1f2d31ee6ef3">  108</a></span>&#160;        T <a class="code" href="classspace_1_1vector3d.html#a0a0ee6dec00310c0448a1f2d31ee6ef3" title="Get squared length of the vector.">getLengthSQ</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> X*X + Y*Y + Z*Z; }</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
<div class="line"><a name="l00111"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#aa4e8f26f29d47c666c4a88381debc024">  111</a></span>&#160;        T <a class="code" href="classspace_1_1vector3d.html#aa4e8f26f29d47c666c4a88381debc024" title="Get the dot product with another vector.">dotProduct</a>(<span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;            <span class="keywordflow">return</span> X*other.X + Y*other.Y + Z*other.Z;</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        }</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;</div>
<div class="line"><a name="l00118"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#a737863823edf17e37a5bd148a76c0150">  118</a></span>&#160;        T <a class="code" href="classspace_1_1vector3d.html#a737863823edf17e37a5bd148a76c0150" title="Get distance from another point.">getDistanceFrom</a>(<span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;            <span class="keywordflow">return</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>(X - other.X, Y - other.Y, Z - other.Z).<a class="code" href="classspace_1_1vector3d.html#a5381c1175b628a86dd1e90582bb471f0" title="Get length of the vector.">getLength</a>();</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        }</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div>
<div class="line"><a name="l00125"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#ac1ba45b344391ffe18a5fb514179be69">  125</a></span>&#160;        T <a class="code" href="classspace_1_1vector3d.html#ac1ba45b344391ffe18a5fb514179be69" title="Returns squared distance from another point.">getDistanceFromSQ</a>(<span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;            <span class="keywordflow">return</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>(X - other.X, Y - other.Y, Z - other.Z).<a class="code" href="classspace_1_1vector3d.html#a0a0ee6dec00310c0448a1f2d31ee6ef3" title="Get squared length of the vector.">getLengthSQ</a>();</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        }</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
<div class="line"><a name="l00133"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#a5991b38dd917f615e7a1323f79bbb9ce">  133</a></span>&#160;        <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a> <a class="code" href="classspace_1_1vector3d.html#a5991b38dd917f615e7a1323f79bbb9ce" title="Calculates the cross product with another vector.">crossProduct</a>(<span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; p)<span class="keyword"> const</span></div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;            <span class="keywordflow">return</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>(Y * p.Z - Z * p.Y, Z * p.X - X * p.Z, X * p.Y - Y * p.X);</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        }</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;</div>
<div class="line"><a name="l00143"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#a3d857ba4f1009566f87e804c7d9ca5cb">  143</a></span>&#160;        <span class="keywordtype">bool</span> <a class="code" href="classspace_1_1vector3d.html#a3d857ba4f1009566f87e804c7d9ca5cb" title="Returns if this vector interpreted as a point is on a line between two other points.">isBetweenPoints</a>(<span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; begin, <span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; end)<span class="keyword"> const</span></div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;            <span class="keyword">const</span> T f = (end - begin).<a class="code" href="classspace_1_1vector3d.html#a0a0ee6dec00310c0448a1f2d31ee6ef3" title="Get squared length of the vector.">getLengthSQ</a>();</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;            <span class="keywordflow">return</span> <a class="code" href="classspace_1_1vector3d.html#ac1ba45b344391ffe18a5fb514179be69" title="Returns squared distance from another point.">getDistanceFromSQ</a>(begin) &lt;= f &amp;&amp;</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;                <a class="code" href="classspace_1_1vector3d.html#ac1ba45b344391ffe18a5fb514179be69" title="Returns squared distance from another point.">getDistanceFromSQ</a>(end) &lt;= f;</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        }</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;</div>
<div class="line"><a name="l00154"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#a28c5c17a206a9b5071165dd025196d00">  154</a></span>&#160;        <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; <a class="code" href="classspace_1_1vector3d.html#a28c5c17a206a9b5071165dd025196d00" title="Normalizes the vector.">normalize</a>()</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;        {</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;            <span class="keywordtype">double</span> length = X*X + Y*Y + Z*Z;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;            <span class="keywordflow">if</span> (length == 0 ) <span class="comment">// this check isn&#39;t an optimization but prevents getting NAN in the sqrt.</span></div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;                <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;            length = core::reciprocal_squareroot(length);</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;            X = (T)(X * length);</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;            Y = (T)(Y * length);</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;            Z = (T)(Z * length);</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;            <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;        }</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;</div>
<div class="line"><a name="l00168"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#a9e816b46feb877307c47b2acb22bd2d3">  168</a></span>&#160;        <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; <a class="code" href="classspace_1_1vector3d.html#a9e816b46feb877307c47b2acb22bd2d3" title="Sets the length of the vector to a new value.">setLength</a>(T newlength)</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;        {</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;            <a class="code" href="classspace_1_1vector3d.html#a28c5c17a206a9b5071165dd025196d00" title="Normalizes the vector.">normalize</a>();</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;            <span class="keywordflow">return</span> (*<span class="keyword">this</span> *= newlength);</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;        }</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;</div>
<div class="line"><a name="l00175"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#aa53c71ae1fb83a264f862a11aabf66fa">  175</a></span>&#160;        <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; <a class="code" href="classspace_1_1vector3d.html#aa53c71ae1fb83a264f862a11aabf66fa" title="Inverts the vector.">invert</a>()</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;        {</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;            X *= -1;</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;            Y *= -1;</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;            Z *= -1;</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;            <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;        }</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;</div>
<div class="line"><a name="l00186"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#a871d81d1abfa763bb7801bbd6ce0aa66">  186</a></span>&#160;        <span class="keywordtype">void</span> <a class="code" href="classspace_1_1vector3d.html#a871d81d1abfa763bb7801bbd6ce0aa66" title="Rotates the vector by a specified number of degrees around the Y axis and the specified center...">rotateXZBy</a>(<span class="keywordtype">double</span> degrees, <span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; center=<a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>())</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;        {</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;            degrees *= DEGTORAD64;</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;            <span class="keywordtype">double</span> cs = cos(degrees);</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;            <span class="keywordtype">double</span> sn = sin(degrees);</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;            X -= center.X;</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;            Z -= center.Z;</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;            <span class="keyword">set</span>((T)(X*cs - Z*sn), Y, (T)(X*sn + Z*cs));</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;            X += center.X;</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;            Z += center.Z;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;        }</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;</div>
<div class="line"><a name="l00201"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#a42cac582d54dcb257144ba2c94b3e771">  201</a></span>&#160;        <span class="keywordtype">void</span> <a class="code" href="classspace_1_1vector3d.html#a42cac582d54dcb257144ba2c94b3e771" title="Rotates the vector by a specified number of degrees around the Z axis and the specified center...">rotateXYBy</a>(<span class="keywordtype">double</span> degrees, <span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; center=<a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>())</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;        {</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;            degrees *= DEGTORAD64;</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;            <span class="keywordtype">double</span> cs = cos(degrees);</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;            <span class="keywordtype">double</span> sn = sin(degrees);</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;            X -= center.X;</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;            Y -= center.Y;</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;            <span class="keyword">set</span>((T)(X*cs - Y*sn), (T)(X*sn + Y*cs), Z);</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;            X += center.X;</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;            Y += center.Y;</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;        }</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;</div>
<div class="line"><a name="l00216"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#ae1a82d17f032af5477f8b6c63eabba05">  216</a></span>&#160;        <span class="keywordtype">void</span> <a class="code" href="classspace_1_1vector3d.html#ae1a82d17f032af5477f8b6c63eabba05" title="Rotates the vector by a specified number of degrees around the X axis and the specified center...">rotateYZBy</a>(<span class="keywordtype">double</span> degrees, <span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; center=<a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>())</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;        {</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;            degrees *= DEGTORAD64;</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;            <span class="keywordtype">double</span> cs = cos(degrees);</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;            <span class="keywordtype">double</span> sn = sin(degrees);</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;            Z -= center.Z;</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;            Y -= center.Y;</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;            <span class="keyword">set</span>(X, (T)(Y*cs - Z*sn), (T)(Y*sn + Z*cs));</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;            Z += center.Z;</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;            Y += center.Y;</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;        }</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;</div>
<div class="line"><a name="l00233"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#a0b391ad36466df0121991b4040df0a6e">  233</a></span>&#160;        <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a> <a class="code" href="classspace_1_1vector3d.html#a0b391ad36466df0121991b4040df0a6e" title="Creates an interpolated vector between this vector and another vector.">getInterpolated</a>(<span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; other, <span class="keywordtype">double</span> d)<span class="keyword"> const</span></div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> inv = 1.0 - d;</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;            <span class="keywordflow">return</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>((T)(other.X*inv + X*d), (T)(other.Y*inv + Y*d), (T)(other.Z*inv + Z*d));</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;        }</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;</div>
<div class="line"><a name="l00245"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#ac334eadb221c9b5ea6cc7ada5c7d3ba9">  245</a></span>&#160;        <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a> <a class="code" href="classspace_1_1vector3d.html#ac334eadb221c9b5ea6cc7ada5c7d3ba9" title="Creates a quadratically interpolated vector between this and two other vectors.">getInterpolated_quadratic</a>(<span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; v2, <span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; v3, <span class="keywordtype">double</span> d)<span class="keyword"> const</span></div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;            <span class="comment">// this*(1-d)*(1-d) + 2 * v2 * (1-d) + v3 * d * d;</span></div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> inv = (T) 1.0 - d;</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> mul0 = inv * inv;</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> mul1 = (T) 2.0 * d * inv;</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> mul2 = d * d;</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;            <span class="keywordflow">return</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a> ((T)(X * mul0 + v2.X * mul1 + v3.X * mul2),</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;                    (T)(Y * mul0 + v2.Y * mul1 + v3.Y * mul2),</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;                    (T)(Z * mul0 + v2.Z * mul1 + v3.Z * mul2));</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;        }</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;</div>
<div class="line"><a name="l00264"></a><span class="lineno"><a class="code" href="classspace_1_1vector3d.html#a8bafbe58280263f2d704de892464d174">  264</a></span>&#160;        <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; <a class="code" href="classspace_1_1vector3d.html#a8bafbe58280263f2d704de892464d174" title="Sets this vector to the linearly interpolated vector between a and b.">interpolate</a>(<span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; a, <span class="keyword">const</span> <a class="code" href="classspace_1_1vector3d.html">vector3d&lt;T&gt;</a>&amp; b, <span class="keywordtype">double</span> d)</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;        {</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;            X = (T)((<span class="keywordtype">double</span>)b.X + ( ( a.X - b.X ) * d ));</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;            Y = (T)((<span class="keywordtype">double</span>)b.Y + ( ( a.Y - b.Y ) * d ));</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;            Z = (T)((<span class="keywordtype">double</span>)b.Z + ( ( a.Z - b.Z ) * d ));</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;            <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;        }</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;    };</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;    <span class="keyword">typedef</span> vector3d&lt;float&gt; vector3df;</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;    <span class="keyword">typedef</span> vector3d&lt;int&gt; vector3di;</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;</div>
<div class="line"><a name="l00280"></a><span class="lineno"><a class="code" href="classspace_1_1vector__entity.html">  280</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classspace_1_1vector__entity.html">vector_entity</a> {</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;        <a class="code" href="classspace_1_1vector3d.html">vector3df</a> position;</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;        <a class="code" href="classspace_1_1vector3d.html">vector3df</a> velocity;</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;        <span class="keywordtype">float</span> acceleration;</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;        <a class="code" href="classspace_1_1vector3d.html">vector3df</a> acceleration;</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;        <a class="code" href="classspace_1_1vector3d.html">vector3df</a> rotation;</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;        <span class="keywordtype">float</span> rotation_speed;</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;        <span class="keywordtype">float</span> rotation_acceleration;</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;    };</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;};</div>
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